Finite Group Databasebeta

← C2×#31865 #7506422

Subgroups — C2×#31865 #7506422

Order 512.

2318 conjugacy classes of subgroups.

The subgroup lattice has 786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2500C211yesmaximal, characteristic, complemented
2C2×#2426C211yesmaximal, characteristic, complemented
3#31865C2116yesmaximal, direct product factor
4C2×#2099C211yesmaximal, characteristic, complemented
5C2×#2073C211yesmaximal, characteristic, complemented
6C2×#2054C211yesmaximal, characteristic, complemented
7C2×#2012C211yesmaximal, characteristic, complemented
8C2×#2000C211yesmaximal, characteristic, complemented
9C2×#1999C211yesmaximal, characteristic
10C2×#1959C211yesmaximal, characteristic, complemented
11C2×#1936C211yesmaximal, characteristic, complemented
12C2×#1924C211yesmaximal, characteristic, complemented
13C2×#1880C211yesmaximal, characteristic, complemented
14C2×#1875C211yesmaximal, characteristic, complemented
15C2×#1873C211yesmaximal, characteristic, complemented
16C2×#1805C211yesmaximal, characteristic, complemented
17C23×SD16C2211yescharacteristic
18C23×D8C2211yescharacteristic
19C22×#124C2211yescharacteristic
20C22×C22⋊Q8C2211yescharacteristic
21C22×#121C2211yescharacteristic
22C22×#121C2211yescharacteristic
23C22×C4×Q8C2211yescharacteristic
24C22×#117C2211yescharacteristic
25C22×C4⋊C8C2211yescharacteristic
26C22×#103C2211yescharacteristic
27C22×#103C2211yescharacteristic
28C22×#103C2211yescharacteristic
29C22×#102C2211yescharacteristic
30C22×#102C2211yescharacteristic
31C22×#102C2211yescharacteristic
32C22×#102C2211yescharacteristic
33C22×#102C2211yescharacteristic
34C22×C22⋊C8C2211yescharacteristic
35C22×C22⋊C8C2211yescharacteristic
36C22×#97C2211yescharacteristic
37#2500—24no—
38#2500C2218yescomplemented
39#2426—24no—
40#2426C2218yescomplemented
41C2×#396—21no—
42C2×#394—21no—
43C2×#394—21no—
44C2×#394—21no—
45C2×#390—21no—
46C2×#390C2211yescharacteristic
47C2×#390C2211yescharacteristic
48C2×#390C2211yescharacteristic
49C2×#389C2211yescharacteristic
50C2×#388—21no—
51C2×#388—21no—
52C2×#388—21no—
53C2×#384C2211yescharacteristic
54C2×#382C2211yescharacteristic
55C2×C4×C22⋊C4C2211yescharacteristic
56#2099C2218yescomplemented
57#2073C2218yescomplemented
58#2054C2218yescomplemented
59#2012C2218yescomplemented
60#2000C2218yescomplemented
61#1999C2218yes—
62#1959C2218yescomplemented
63#1936C2218yescomplemented
64#1924C2218yescomplemented
65#1880C2218yescomplemented
66#1875C2218yescomplemented
67#1873C2218yescomplemented
68#1805C2218yescomplemented
69C2×#340C2211yescharacteristic
70C2×#340C2211yescharacteristic
71C2×#340C2211yescharacteristic
72C2×#340C2211yescharacteristic
73C2×#340C2211yescharacteristic
74C2×#340C2211yescharacteristic
75C2×#336C2211yescharacteristic
76C2×#336C2211yescharacteristic
77C23×Q8C2311yescharacteristic
78C23×D4—21no—
79C23×D4—21no—
80C23×D4C2311yescharacteristic
81C23×D4C2311yescharacteristic
82C24×C4C2311yescharacteristic
83C22×SD16—24no—
84C22×SD16—42no—
85C22×SD16—42no—
86C22×SD16C2314yes—
87C22×D8—42no—
88C22×D8—42no—
89C22×D8—42no—
90C22×D8C2314yes—
91C23×C8C2311yescharacteristic
92C23×C8C2311yescharacteristic
93C23×C8C2311yescharacteristic
94C23×C8C2311yescharacteristic
95C2×#124—24no—
96C2×#124—22no—
97C2×#124—42no—
98C2×#124C2314yes—
99C2×C22⋊Q8—22no—
100C2×C22⋊Q8—24no—
101C2×C22⋊Q8—42no—
102C2×C22⋊Q8C2314yes—
103C2×#121—22no—
104C2×#121—22no—
105C2×#121—24no—
106C2×#121—42no—
107C2×#121—42no—
108C2×#121—42no—
109C2×#121C2314yes—
110C2×#121C2314yes—
111C2×C4×Q8—22no—
112C2×C4×Q8—24no—
113C2×C4×Q8—42no—
114C2×C4×Q8C2314yes—
115C2×#117—22no—
116C2×#117—42no—
117C2×#117—42no—
118C2×#117C2314yes—
119C22×C4⋊C4—21no—
120C22×C4⋊C4—21no—
121C22×C4⋊C4—21no—
122C22×C4⋊C4—21no—
123C22×C4⋊C4—21no—
124C22×C4⋊C4C2311yescharacteristic
125C22×C4⋊C4C2311yescharacteristic
126C22×C4⋊C4C2311yescharacteristic
127C22×C4⋊C4C2311yescharacteristic
128C22×C4⋊C4C2311yescharacteristic
129C22×C22⋊C4—21no—
130C22×C22⋊C4—21no—
131C22×C22⋊C4—21no—
132C22×C22⋊C4—21no—
133C22×C22⋊C4—21no—
134C22×C22⋊C4—21no—
135C22×C22⋊C4—21no—
136C22×C22⋊C4—21no—
137C22×C22⋊C4—21no—
138C22×C22⋊C4—21no—
139C22×C22⋊C4—21no—
140C22×C22⋊C4—21no—
141C22×C22⋊C4D411yescharacteristic
142C22×C22⋊C4D411yescharacteristic
143C22×C42—21no—
144C22×C42—21no—
145C22×C42C2311yescharacteristic
146C22×C42C2311yescharacteristic
147C2×C4⋊C8—42no—
148C2×C4⋊C8C2314yes—
149C2×#103—42no—
150C2×#103—42no—
151C2×#103—42no—
152C2×#103C2314yes—
153C2×#103C2314yes—
154C2×#103C2314yes—
155C2×#102—24no—
156C2×#102—42no—
157C2×#102—42no—
158C2×#102—42no—
159C2×#102—42no—
160C2×#102C2314yes—
161C2×#102C2314yes—
162C2×#102C2314yes—
163C2×#102C2314yes—
164C2×#102C2314yes—
165C2×C22⋊C8—42no—
166C2×C22⋊C8—42no—
167C2×C22⋊C8C2314yes—
168C2×C22⋊C8C2314yes—
169C2×#97—42no—
170C2×#97C2314yes—
171#396—28no—
172#394—28no—
173#394—28no—
174#394—28no—
175#390—28no—
176#390—22no—
177#390—22no—
178#390—22no—
179#390C2314yes—
180#390C2314yes—
181#390C2314yes—
182#389—22no—
183#389C2314yes—
184#388—28no—
185#388—28no—
186#388—28no—
187#384—22no—
188#384C2314yes—
189#382—22no—
190#382C2314yes—
191C4×C22⋊C4D414yes—
192C4×C22⋊C4C2314yes—
193C2×#95—21no—
194C2×#95—21no—
195C2×#95—21no—
196C2×#95D411yescharacteristic
197C2×#95D411yescharacteristic
198#340C2314yes—
199#340C2314yes—
200#340C2314yes—
201#340C2314yes—
202#340C2314yes—
203#340C2314yes—
204#336C2314yes—
205#336C2314yes—
206C25—21no—
207C25—21no—
208C25C2×D411yescharacteristic
209C22×Q8—21no—
210C22×Q8—22no—
211C22×Q8—22no—
212C22×Q8—22no—
213C22×Q8—22no—
214C22×Q8—22no—
215C22×Q8#4114yes—
216C22×Q8C2412yes—
217C22×D4—24no—
218C22×D4—24no—
219C22×D4—21no—
220C22×D4—21no—
221C22×D4—22no—
222C22×D4—22no—
223C22×D4—22no—
224C22×D4—22no—
225C22×D4—22no—
226C22×D4—22no—
227C22×D4—22no—
228C22×D4—22no—
229C22×D4—22no—
230C22×D4—22no—
231C22×D4—22no—
232C22×D4—22no—
233C22×D4—44no—
234C22×D4—44no—
235C22×D4—44no—
236C22×D4—82no—
237C22×D4—82no—
238C22×D4—82no—
239C22×D4C2412yes—
240C22×D4C2412yes—
241C23×C4—21no—
242C23×C4—21no—
243C23×C4—22no—
244C23×C4—22no—
245C23×C4—22no—
246C23×C4—22no—
247C23×C4—22no—
248C23×C4—22no—
249C23×C4—21no—
250C23×C4—21no—
251C23×C4—21no—
252C23×C4—21no—
253C23×C4C2×D412yes—
254C23×C4C2×D411yescharacteristic
255C23×C4C2×D411yescharacteristic
256C23×C4C2×D411yescharacteristic
257C23×C4C2×D411yescharacteristic
258C23×C4C2×D411yescharacteristic
259C23×C4C2412yes—
260C23×C4C2411yescharacteristic
261C2×SD16—28no—
262C2×SD16—44no—
263C2×SD16—44no—
264C2×SD16—416no—
265C2×D8—44no—
266C2×D8—44no—
267C2×D8—44no—
268C2×D8—416no—
269C22×C8—22no—
270C22×C8—22no—
271C22×C8—22no—
272C22×C8—22no—
273C22×C8—22no—
274C22×C8—22no—
275C22×C8—22no—
276C22×C8—22no—
277C22×C8—22no—
278C22×C8—22no—
279C22×C8—22no—
280C22×C8—22no—
281C22×C8C2412yes—
282C22×C8C2412yes—
283C22×C8C2412yes—
284C22×C8C2412yes—
285#124—28no—
286#124—44no—
287#124—48no—
288C22⋊Q8—28no—
289C22⋊Q8—44no—
290C22⋊Q8—48no—
291#121—28no—
292#121—44no—
293#121—44no—
294#121—44no—
295#121—48no—
296#121—48no—
297C4×Q8—28no—
298C4×Q8—44no—
299C4×Q8—48no—
300#117—44no—
301#117—44no—
302#117—48no—
303C2×C4⋊C4—21no—
304C2×C4⋊C4—22no—
305C2×C4⋊C4—22no—
306C2×C4⋊C4—22no—
307C2×C4⋊C4—22no—
308C2×C4⋊C4—22no—
309C2×C4⋊C4—22no—
310C2×C4⋊C4—22no—
311C2×C4⋊C4—22no—
312C2×C4⋊C4—22no—
313C2×C4⋊C4—24no—
314C2×C4⋊C4—24no—
315C2×C4⋊C4—21no—
316C2×C4⋊C4—21no—
317C2×C4⋊C4—21no—
318C2×C4⋊C4—21no—
319C2×C4⋊C4—24no—
320C2×C4⋊C4—24no—
321C2×C4⋊C4—24no—
322C2×C4⋊C4—44no—
323C2×C4⋊C4—44no—
324C2×C4⋊C4—82no—
325C2×C4⋊C4—82no—
326C2×C4⋊C4—82no—
327C2×C4⋊C4#4114yes—
328C2×C4⋊C4C2412yes—
329C2×C4⋊C4C2412yes—
330C2×C4⋊C4C2412yes—
331C2×C4⋊C4C2412yes—
332C2×C4⋊C4C2412yes—
333C2×C22⋊C4—24no—
334C2×C22⋊C4—24no—
335C2×C22⋊C4—24no—
336C2×C22⋊C4—24no—
337C2×C22⋊C4—24no—
338C2×C22⋊C4—24no—
339C2×C22⋊C4—24no—
340C2×C22⋊C4—24no—
341C2×C22⋊C4—24no—
342C2×C22⋊C4—24no—
343C2×C22⋊C4—24no—
344C2×C22⋊C4—24no—
345C2×C22⋊C4—42no—
346C2×C22⋊C4—42no—
347C2×C22⋊C4—44no—
348C2×C22⋊C4—44no—
349C2×C22⋊C4—44no—
350C2×C22⋊C4—44no—
351C2×C22⋊C4—44no—
352C2×C22⋊C4—44no—
353C2×C22⋊C4—44no—
354C2×C22⋊C4—44no—
355C2×C22⋊C4—44no—
356C2×C22⋊C4—82no—
357C2×C22⋊C4—82no—
358C2×C22⋊C4—82no—
359C2×C22⋊C4C2×D414yes—
360C2×C22⋊C4C2×D414yes—
361C2×C42—22no—
362C2×C42—22no—
363C2×C42—22no—
364C2×C42—22no—
365C2×C42—24no—
366C2×C42—24no—
367C2×C42—44no—
368C2×C42—44no—
369C2×C42C2×D412yes—
370C2×C42C2×D412yes—
371C2×C42C2412yes—
372C2×C42C2412yes—
373C4⋊C8—44no—
374#103—44no—
375#103—44no—
376#103—44no—
377#102—28no—
378#102—44no—
379#102—44no—
380#102—44no—
381#102—44no—
382C22⋊C8—44no—
383C22⋊C8—44no—
384#97—44no—
385#95—24no—
386#95—24no—
387#95—24no—
388#95C2×D414yes—
389#95C2×D414yes—
390C24—22no—
391C24—22no—
392C24—22no—
393C24—22no—
394C24—22no—
395C24—22no—
396C24—22no—
397C24—22no—
398C24—22no—
399C24—42no—
400C24—42no—
401C24—42no—
402C24—42no—
403C24—42no—
404C24—42no—
405C24—42no—
406C24—42no—
407C24—42no—
408C24—42no—
409C24—42no—
410C24—42no—
411C24—42no—
412C24—42no—
413C24C22×D412yes—
414C24C22×D411yescharacteristic
415C2×Q8—24no—
416C2×Q8—22no—
417C2×Q8—28no—
418C2×Q8—28no—
419C2×Q8—22no—
420C2×Q8—22no—
421C2×Q8—22no—
422C2×Q8—22no—
423C2×Q8—42no—
424C2×Q8—44no—
425C2×Q8—42no—
426C2×Q8—44no—
427C2×Q8C2×#4114yes—
428C2×D4—22no—
429C2×D4—22no—
430C2×D4—22no—
431C2×D4—22no—
432C2×D4—22no—
433C2×D4—22no—
434C2×D4—22no—
435C2×D4—22no—
436C2×D4—22no—
437C2×D4—22no—
438C2×D4—22no—
439C2×D4—22no—
440C2×D4—48no—
441C2×D4—48no—
442C2×D4—48no—
443C2×D4—42no—
444C2×D4—42no—
445C2×D4—44no—
446C2×D4—44no—
447C2×D4—44no—
448C2×D4—44no—
449C2×D4—42no—
450C2×D4—42no—
451C2×D4—42no—
452C2×D4—42no—
453C2×D4—44no—
454C2×D4—44no—
455C2×D4—44no—
456C2×D4—44no—
457C2×D4—84no—
458C2×D4—84no—
459C2×D4—84no—
460C2×D4—816no—
461C2×D4—816no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—24no—
468C22×C4—24no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—24no—
482C22×C4—24no—
483C22×C4—24no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—42no—
498C22×C4—44no—
499C22×C4—44no—
500C22×C4—44no—
501C22×C4—44no—
502C22×C4—42no—
503C22×C4—42no—
504C22×C4—42no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—42no—
509C22×C4—42no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4C22×D412yes—
515C22×C4C22×D412yes—
516C22×C4C22×D412yes—
517C22×C4C22×D412yes—
518C22×C4C22×D412yes—
519C22×C4C22×D411yescharacteristic
520C22×C4C2×#4112yes—
521C22×C4C2×#4112yes—
522C22×C4H(5,𝔽2)12yes—
523C22×C4H(5,𝔽2)12yes—
524C22×C4H(5,𝔽2)12yes—
525C22×C4H(5,𝔽2)12yes—
526C22×C4C2511yescharacteristic
527SD16—416no—
528D8—416no—
529C2×C8—22no—
530C2×C8—22no—
531C2×C8—22no—
532C2×C8—22no—
533C2×C8—22no—
534C2×C8—22no—
535C2×C8—22no—
536C2×C8—22no—
537C2×C8—22no—
538C2×C8—22no—
539C2×C8—22no—
540C2×C8—22no—
541C2×C8—44no—
542C2×C8—44no—
543C2×C8—44no—
544C2×C8—44no—
545C4⋊C4—24no—
546C4⋊C4—22no—
547C4⋊C4—22no—
548C4⋊C4—22no—
549C4⋊C4—22no—
550C4⋊C4—22no—
551C4⋊C4—22no—
552C4⋊C4—22no—
553C4⋊C4—22no—
554C4⋊C4—22no—
555C4⋊C4—48no—
556C4⋊C4—48no—
557C4⋊C4—42no—
558C4⋊C4—42no—
559C4⋊C4—42no—
560C4⋊C4—42no—
561C4⋊C4—84no—
562C4⋊C4—84no—
563C4⋊C4—84no—
564C4⋊C4C2×#4114yes—
565C22⋊C4—44no—
566C22⋊C4—44no—
567C22⋊C4—48no—
568C22⋊C4—48no—
569C22⋊C4—48no—
570C22⋊C4—48no—
571C22⋊C4—48no—
572C22⋊C4—48no—
573C22⋊C4—48no—
574C22⋊C4—48no—
575C22⋊C4—48no—
576C22⋊C4—84no—
577C22⋊C4—84no—
578C22⋊C4—84no—
579C42—24no—
580C42—24no—
581C42—22no—
582C42—22no—
583C42—22no—
584C42—22no—
585C42—48no—
586C42—48no—
587C23—22no—
588C23—22no—
589C23—22no—
590C23—22no—
591C23—22no—
592C23—22no—
593C23—22no—
594C23—44no—
595C23—44no—
596C23—44no—
597C23—44no—
598C23—44no—
599C23—44no—
600C23—44no—
601C23—42no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23—42no—
615C23—84no—
616C23—84no—
617C23—84no—
618C23—84no—
619C23—84no—
620C23—84no—
621C23—84no—
622C23—84no—
623C23—84no—
624C23—84no—
625C23—84no—
626C23—84no—
627C23—84no—
628C23—84no—
629C23#53512yes—
630C23#54612yes—
631C23#54612yes—
632C23#57512yes—
633C23#57512yes—
634C23#57612yes—
635C23#57712yes—
636C23C23×D411yescharacteristic
637Q8—24no—
638Q8—24no—
639Q8—42no—
640Q8—48no—
641Q8—42no—
642D4—42no—
643D4—42no—
644D4—42no—
645D4—42no—
646D4—42no—
647D4—42no—
648D4—42no—
649D4—42no—
650D4—816no—
651D4—816no—
652D4—84no—
653D4—84no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—24no—
660C2×C4—24no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—44no—
674C2×C4—48no—
675C2×C4—44no—
676C2×C4—44no—
677C2×C4—48no—
678C2×C4—44no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—44no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—48no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—84no—
700C2×C4—84no—
701C2×C4—84no—
702C2×C4—84no—
703C2×C4#53512yes—
704C2×C4#53814yes—
705C2×C4#54014yes—
706C2×C4#54612yes—
707C2×C4#54612yes—
708C2×C4#55314yes—
709C2×C4#56014yes—
710C2×C4C22×#4111yescharacteristic
711C2×C4C22×#4111yescharacteristic
712C2×C4C2×H(5,𝔽2)11yescharacteristic
713C2×C4C2×H(5,𝔽2)11yescharacteristic
714C2×C4C2×H(5,𝔽2)11yescharacteristic
715C2×C4C2×H(5,𝔽2)11yescharacteristic
716C8—42no—
717C8—42no—
718C8—42no—
719C8—42no—
720C22—42no—
721C22—42no—
722C22—42no—
723C22—42no—
724C22—42no—
725C22—42no—
726C22—42no—
727C22—88no—
728C22—82no—
729C22—82no—
730C22—82no—
731C22—82no—
732C22—82no—
733C22—82no—
734C22—82no—
735C22—82no—
736C22—82no—
737C22—82no—
738C22—82no—
739C22—82no—
740C22—82no—
741C22—82no—
742C22—168no—
743C22—168no—
744C22#270314yes—
745C22#321914yes—
746C22#322414yes—
747C22#330914yes—
748C22#331914yes—
749C22#332114yes—
750C22#332614yes—
751C22C2×#53511yescharacteristic
752C22C2×#54611yescharacteristic
753C22C2×#54611yescharacteristic
754C22C2×#57511yescharacteristic
755C22C2×#57511yescharacteristic
756C22C2×#57611yescharacteristic
757C22C2×#57711yescharacteristic
758C4—42no—
759C4—44no—
760C4—42no—
761C4—44no—
762C4—42no—
763C4—42no—
764C4—42no—
765C4—82no—
766C4—82no—
767C4—82no—
768C4—82no—
769C4#270314yes—
770C4C2×#53811yescharacteristic
771C4C2×#54011yescharacteristic
772C4C2×#55311yescharacteristic
773C4C2×#56011yescharacteristic
774C2—82no—
775C2—162no—
776C2—162no—
777C2#3186518yesdirect product factor
778C2C2×#270311yescharacteristic
779C2C2×#321911yescharacteristic
780C2C2×#322411yescharacteristic
781C2C2×#331911yescharacteristic
782C2C2×#330911yescharacteristic
783C2C2×#332111yescharacteristic
784C2C2×#332611yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#1999C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C2×C4×C22⋊C4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#2500C2semidirect
2. C2×#2426C2semidirect
3. #31865C2direct (N × H)
4. C2×#2099C2semidirect
5. C2×#2073C2semidirect
6. C2×#2054C2semidirect
7. C2×#2012C2semidirect
8. C2×#2000C2semidirect
10. C2×#1959C2semidirect
11. C2×#1936C2semidirect
12. C2×#1924C2semidirect
13. C2×#1880C2semidirect
14. C2×#1875C2semidirect
15. C2×#1873C2semidirect
16. C2×#1805C2semidirect
38. #2500C22semidirect
40. #2426C22semidirect
56. #2099C22semidirect
57. #2073C22semidirect
58. #2054C22semidirect
59. #2012C22semidirect
60. #2000C22semidirect
62. #1959C22semidirect
63. #1936C22semidirect
64. #1924C22semidirect
65. #1880C22semidirect
66. #1875C22semidirect
67. #1873C22semidirect
68. #1805C22semidirect
777. C2#31865direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×#25002
C2×#24262
#318652
C2×#20992
C2×#20732
C2×#20542
C2×#20122
C2×#20002
C2×#19992
C2×#19592
C2×#19362
C2×#19242
C2×#18802
C2×#18752
C2×#18732
C2×#18052